document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=694821>Question 694821</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the sum of the first 16 terms of the arithmetic progression, if the first term is -5 and the common difference is -6\r<BR>\n" );
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document.write( "find the first term and common difference for the sequence with the given nth term.<BR>\n" );
document.write( "an=7.4+0.6n\r<BR>\n" );
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document.write( "find the sum: 12+15+18+ . . . +111<BR>\n" );
document.write( "a)1887 b)4182 c)369 d)2091<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428220 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=428220\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the sum of the first 16 terms of the arithmetic progression, if the first term is -5 and the common difference is -6<BR>\n" );
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document.write( "a(16) -5 +(15)(-6) = -95<BR>\n" );
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document.write( "S(n) = (n/2)(a(1)+a(16))<BR>\n" );
document.write( "S(16) = 8(-5-95) = 8(-100) = -800<BR>\n" );
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document.write( "find the first term and common difference for the sequence with the given nth term.<BR>\n" );
document.write( "an=7.4+0.6n <BR>\n" );
document.write( "a(1) = 7.4+0.6 = 8<BR>\n" );
document.write( "a(2) = 7.4+0.6*2 = 7.4 = 1.2 = 8.6<BR>\n" );
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document.write( "Common difference = 0.6<BR>\n" );
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document.write( "find the sum: 12+15+18+ . . . +111<BR>\n" );
document.write( "a(1) = 12 ; d = 3<BR>\n" );
document.write( "Find \"n\" using 111 = 12 + (n-1)3<BR>\n" );
document.write( "99 = (n-1)3<BR>\n" );
document.write( "n-1 = 33<BR>\n" );
document.write( "n = 34<BR>\n" );
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document.write( "Sum = (34/2)(12+111) = 17*123 = 2091<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "a)1887 b)4182 c)369 d)2091<BR>\n" );
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